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Finding the Fourth Proportional to 812.76, 1,122.06 and 616.74

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Solution

The fourth proportional to 812.76, 1,122.06 and 616.74 is: 851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.76 : 1,122.06 = 616.74 : x
  2. Step 2: Convert to fraction form
    812.76/1,122.06 = 616.74/x
  3. Step 3: Cross multiply
    812.76x = 1,122.06 × 616.74
  4. Step 4: Simplify right side
    812.76x = 692,019.28
  5. Step 5: Solve for x
    x = 692,019.28/812.76
  6. Step 6: Final answer
    x = 851.44

Related Problems

Find fourth proportional to 406.38, 561.03 and 308.37
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.